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442406134360 = 23523502195773
BaseRepresentation
bin1100111000000010111…
…01011110001001011000
31120021221001012012022201
412130001131132021120
524222021432244420
6535123310455544
743651144044541
oct6340135361130
91507831165281
10442406134360
11160694802833
12718a8b045b4
1332946046738
14175ac1494c8
15b79476910a
hex670175e258

442406134360 has 64 divisors (see below), whose sum is σ = 1038910380480. Its totient is φ = 169232954880.

The previous prime is 442406134237. The next prime is 442406134367. The reversal of 442406134360 is 63431604244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442406134367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4571434 + ... + 4667206.

It is an arithmetic number, because the mean of its divisors is an integer number (16232974695).

Almost surely, 2442406134360 is an apocalyptic number.

442406134360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442406134360 is an abundant number, since it is smaller than the sum of its proper divisors (596504246120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

442406134360 is a wasteful number, since it uses less digits than its factorization.

442406134360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100828 (or 100824 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 37.

The spelling of 442406134360 in words is "four hundred forty-two billion, four hundred six million, one hundred thirty-four thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 5021 10042 20084 25105 40168 50210 95773 100420 115483 191546 200840 230966 383092 461932 478865 577415 766184 923864 957730 1154830 1915460 2202779 2309660 3830920 4405558 4619320 8811116 11013895 17622232 22027790 44055580 88111160 480876233 961752466 1923504932 2404381165 3847009864 4808762330 9617524660 11060153359 19235049320 22120306718 44240613436 55300766795 88481226872 110601533590 221203067180 442406134360